6-(4z-9)=7-5z

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Solution for 6-(4z-9)=7-5z equation: 


Simplifying
6 + -1(4z + -9) = 7 + -5z

Reorder the terms:
6 + -1(-9 + 4z) = 7 + -5z
6 + (-9 * -1 + 4z * -1) = 7 + -5z
6 + (9 + -4z) = 7 + -5z

Combine like terms: 6 + 9 = 15
15 + -4z = 7 + -5z

Solving
15 + -4z = 7 + -5z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '5z' to each side of the equation.
15 + -4z + 5z = 7 + -5z + 5z

Combine like terms: -4z + 5z = 1z
15 + 1z = 7 + -5z + 5z

Combine like terms: -5z + 5z = 0
15 + 1z = 7 + 0
15 + 1z = 7

Add '-15' to each side of the equation.
15 + -15 + 1z = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = 7 + -15
1z = 7 + -15

Combine like terms: 7 + -15 = -8
1z = -8

Divide each side by '1'.
z = -8

Simplifying
z = -8

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